Inverse Trig Functions
Simplifying, Verifying and Proving Trig Identities
Sum and difference Identities/ Double and half angle Identities
Law of Sins and Cosines + Ambiguous case
Series, sequences, and summations/ Conic Sections
100
Cos-1(-1)
𝝅
100
Simplify:sin2θ-1
-cos2θ
100
If angle A is equal to 30 degrees and angle B is equal to 45 degrees, what is the value of sin(A + B) - sin(A - B)?
√6 / 2
100
sin(46.5°)/x = sin(39.4°)/7
8 u
100
The directrix of a parabola with focus (5,6) and vertex (3,8):
200
Cos-1(-√2/2)
3/4𝝅
200
1/cosx(1-sin^2x)
Cosx
200
sin(𝝅/2-20), what is cos?
20
cofunction identities
200
If sides of a triangle are 5.5 and 4.7 respectively. Angle opposite to the side 5.5 is 63 degrees. Find the angle opposite to the side 4.7
49.6 degrees
200
Write the equation of a circle with center (7, 0) with radius 3.
(x - 7)2 + y2 = 9
300
Tan-1(sec𝝅)
-𝝅/4
300
Simplify:cscx-cosx cotx
Sinx
300
Simplify the expression: sin(75°) - cos(15°)
0
300
Given, in triangle abc, a = 32, b = 21 and angle between a and b is 40 degrees. Find the value of third side c.
20.87 cm
300
Find the 22nd term of the following sequence:
5, 8, 11, ...
68
400
Sin(Arcsin 4/3)
DNE
400
Verify:cotx+1=cscx(cosx+sinx)
1/sinx(cosx+sinx)
cosx/sinx+Sinx/sinx
cotx+1
400
tan((𝝅/2)-35), what is cot?
35
co function identities
400
A triangle has sides equal to 5 cm, 10 cm and 7 cm. Find its angles.
111.8°, 40.5°, 27.7°
400
Find the rule for this geometric sequence:
r = 3 a3 = -12
an = (-4/3) (3)n-1
500
Arccos(cos 7𝝅/6)
5/6𝝅
500
secx-sinxtanx=cosx
1/cosx-sin(sinx/cosx)
1/cosx-sin^2x/cosx
1-sin^2x/cosx=cos^2x/cosx
cosx
500
Sin(75°)
√2+√6/4
500
The length of the two sides of a triangle is 6.5 cm and 9.4 cm respectively. Angle between them is 131 degrees. The third side is:
14.5 cm
500
You are sitting in row 23 and notice there are 65 seats in your row. The row in front of you has 63 seats and the row behind you has 67 seats. There are 42 rows in the auditorium. How many seats does the auditorium contain? (Hint: Find the number of seats in the first and last rows)
2,604